Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications
文献类型：期刊论文
| 作者 | Zheng, ZH ; Xia, J; Zheng, ZM
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2006-03-01 |
| 卷号 | 14期号:3页码:409-417 |
| 关键词 | ergodic theorems strange attractors quasiperiodically forced systems |
| ISSN号 | 1078-0947 |
| 英文摘要 | It has been established one-side uniform convergence in both the Birkhoff and sub-additive ergodic theorems under conditions on growth rates with respect to all the invariant measures. In this paper we show these conditions are both necessary and sufficient. These results are applied to study quasiperiodically forced systems. Some meaningful geometric properties of invariant sets of such systems are presented. We also show that any strange compact invariant set of a C-1 quasiperiodically forced system must support an invariant measure with a non-negative normal Lyapunov exponent. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000232550200003 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2626]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zheng, ZH |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Beihang Univ, Sch Sci, Beijing 100083, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, ZH,Xia, J,Zheng, ZM. Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2006,14(3):409-417. |
| APA | Zheng, ZH,Xia, J,&Zheng, ZM.(2006).Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,14(3),409-417. |
| MLA | Zheng, ZH,et al."Necessary and sufficient conditions for semi-uniform ergodic theorems and their applications".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 14.3(2006):409-417. |
入库方式： OAI收割
来源：数学与系统科学研究院
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